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Finding the Fourth Proportional to 7,075.79, 9,764.16 and 4,091.42

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Solution

The fourth proportional to 7,075.79, 9,764.16 and 4,091.42 is: 5,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.79 : 9,764.16 = 4,091.42 : x
  2. Step 2: Convert to fraction form
    7,075.79/9,764.16 = 4,091.42/x
  3. Step 3: Cross multiply
    7,075.79x = 9,764.16 × 4,091.42
  4. Step 4: Simplify right side
    7,075.79x = 39,949,230.69
  5. Step 5: Solve for x
    x = 39,949,230.69/7,075.79
  6. Step 6: Final answer
    x = 5,645.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.